Monte Carlo simulations of the classical two-dimensional discrete frustrated model |
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Authors: | VV Savkin AN Rubtsov T Janssen |
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Institution: | (1) Physics Department, Moscow State University, 119992 Moscow, Russia, RU;(2) Institute of Theoretical Physics, University of Nijmegen, Postbus 9010, 6500 GL Nijmegen, The Netherlands, NL |
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Abstract: | The classical two-dimensional discrete frustrated φ
4
model is studied by Monte Carlo simulations. The correlation function is obtained for two values of a parameter d that determines the frustration in the model. The ground state is a ferro-phase for d
= - 0.35 and a commensurate phase with period N
= 6 for d
= - 0.45. Mean field predicts that at higher temperature the system enters a para-phase via an incommensurate state, in both cases. Monte Carlo data for d
= - 0.45 show two phase transitions with a floating-incommensurate phase between them. The phase transition at higher temperature
is of the Kosterlitz-Thouless type. Analysis of the data for d
= - 0.35 shows only a single phase transition between the floating-fluid phase and the ferro-phase within the numerical error.
Received 16 December 2002 / Received in final form 17 January 2003 Published online 6 March 2003
RID="a"
ID="a"e-mail: vladimir@shg.ru |
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Keywords: | PACS 64 70 Rh Commensurate-incommensurate transitions – 63 70 +h Statistical mechanics of lattice vibrations and displacive phase transitions |
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